Entanglement Generation in the Scattering of One-Dimensional Particles
arXiv:0710.5776 · doi:10.1103/PhysRevA.77.042310
Abstract
This article provides a convenient framework for quantitative evaluation of the entanglement generated when two structureless, distinguishable particles scatter non-relativistically in one dimension. It explores how three factors determine the amount of entanglement generated: the momentum distributions of the incoming particles, their masses, and the interaction potential. Two important scales emerge, one set by the kinematics and one set by the dynamics. This method also provides two approximate analytic formulas useful for numerical evaluation of entanglement and reveals an interesting connection between purity, linear coordinate transformations, and momentum uncertainties.
arXiv comment11 pages, submitted to PRA
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Cited by in corpus (8)
- Correlated Quantum Dynamics of a Single Atom Collisionally Coupled to an Ultracold Finite Bosonic Ensemble
- Time dependence of quantum entanglement in the collision of two particles
- Information Geometry of Quantum Entangled Gaussian Wave-Packets
- Theoretical investigations of an information geometric approach to complexity
- Non-Entangling Channels for Multiple Collisions of Quantum Wave Packets
- Point-form dynamics of quasistable states
- Hyperfine state entanglement of spinor BEC and scattering atom
- Quantum entanglement of bound particles under free center of mass dispersion